p^2-(p-2)(p-2)=32

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Solution for p^2-(p-2)(p-2)=32 equation: 


Simplifying
p2 + -1(p + -2)(p + -2) = 32

Reorder the terms:
p2 + -1(-2 + p)(p + -2) = 32

Reorder the terms:
p2 + -1(-2 + p)(-2 + p) = 32

Multiply (-2 + p) * (-2 + p)
p2 + -1(-2(-2 + p) + p(-2 + p)) = 32
p2 + -1((-2 * -2 + p * -2) + p(-2 + p)) = 32
p2 + -1((4 + -2p) + p(-2 + p)) = 32
p2 + -1(4 + -2p + (-2 * p + p * p)) = 32
p2 + -1(4 + -2p + (-2p + p2)) = 32

Combine like terms: -2p + -2p = -4p
p2 + -1(4 + -4p + p2) = 32
p2 + (4 * -1 + -4p * -1 + p2 * -1) = 32
p2 + (-4 + 4p + -1p2) = 32

Reorder the terms:
-4 + 4p + p2 + -1p2 = 32

Combine like terms: p2 + -1p2 = 0
-4 + 4p + 0 = 32
-4 + 4p = 32

Solving
-4 + 4p = 32

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + 4p = 32 + 4

Combine like terms: -4 + 4 = 0
0 + 4p = 32 + 4
4p = 32 + 4

Combine like terms: 32 + 4 = 36
4p = 36

Divide each side by '4'.
p = 9

Simplifying
p = 9

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